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About one problem of optimal stochastic control of the modes of operation of water mains

100%

Tevyashev A. , Matviyenko O.

tom Vol. 4, No 3

3--12

The problem of increasing of the efficiency of operation of the water mains in modern conditions while the transition to a three-tier tariff for the electricity is examined in the present work. An effective method for solving this problem, based on the use of specific features of the water mains as stochastic objects operating in the stochastic environment is offered. The mathematical formulation of the problems of optimal stochastic control of the modes of operation of the water main with probabilistic constraints on the phase variables is presented. A new strategy for the optimal stochastic control of the modes of operation of the water main, the use of which has allowed to develop an effective method for solving the examined problem is proposed in the present work. It is shown that the transition from the classical deterministic problems of control of the modes of operation of the water mains to stochastic ones, provides a significant (up 9%) decrease of financial expenses for the electricity.

Optimal control for a nonstationary linear system with a quadratic cost functional

75%

Czornik A.

tom Nr 40

3--11

This paper is about optimal control of infinite-horizon nonstationary stochastic linear processes with a quadratic cost criterion. The synthesis problem of optimal control is solved under the assumptions that the criterion is an average expected cost and that the process' matrices possess limits for the time approaching infinity. Furthermore, the limit matrices are such that the "limit" process is both observable and controllable. The paper documents existence of an optimal feedback control policy. The policy is such that the gain matrix is a (scaled) solution to a Riccati stationary matrix equation. The equation is stationary in that its coefficients are the limits of the process' non-stationary matrices.

Information and analytical technology for control and operation management of gas transportation systems operation modes

75%

Tevyashev A. , Iievlieva S.

tom nr 21

69--84

The purpose of the study is to develop new information and analytical technologies and tools for optimal stochastic control of the technological processes of production, preparation, transportation and distribution of energy resources in the gas transportation systems of Ukraine. The achievement of this goal will enable us to implement a unified, well-balanced approach to the modernization and rational development the gas transportation systems of Ukraine based on achieving maximum indicators in resource saving and environmentally friendly technologies in energy, which is currently extremely relevant.

Celem badań jest opracowanie nowych technologii narzędzi informacyjnych i analitycznych dla optymalnego stochastycznego sterowania procesami technologicznymi produkcji, przygotowania, transportu i dystrybucji surowców energetycznych w systemach transportu gazu na Ukrainie.